in how many ways can the letters of the word VICTORY be arranged so that consonants appear only in the even place?

• There are 5 consonants (V,C,T,R,Y) & 2vowels (I,O) and 3 even places in which
  2nd place v,c,t,r,y can arrange among themselves in 5! ways=120
  4th place =4!=24 ways
  6thplace=3!=6 ways
  now vowels can arrange themselves in two ways for remaining places ,
  now adding all i.e, 2+120+2+24+2+6+2= 158 ways
  
• 10 years agoHelpfull: Yes(1) No(3)
• There are 5 consonants (V,C,T,R,Y) & 2vowels (I,O) and 3 even places and 4 odd place.
  even places are 2nd, 4th, and 6th
  so at 2nd place we can arrange 5C1 AND
  FOR 4th place 4C1
  and for 6th place 3C1
  so total 5C1*4C1*3C1=60
  and at this place 3 latter can arrange them self in 3! ways
  so total =60 *3!=3600 ways
• 10 years agoHelpfull: Yes(1) No(2)